How many triangles will there be in the 7th term of the following sequence?

Δ
Δ. Δ
Δ.ΔΔΔ.ΔΔΔΔΔ...
1. 19
2. 22
3. 16
4. 8
HELP ILL OUT BRAILEST

Answer:

Option 3

Step-by-step explanation:

Reflecting across the x axis will map the compass from Quadrant IV to Quadrant I.

Rotating 180 degrees will map the compass from Quadrant I to Quadrant III.

The only option with the compass in Quadrant III is Option 3

The probability that there is at least two 4s in the three throws is \(\frac{2}{27}\)

Permutations and combinations

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor

given that

we throw a fair die three times

Due to the fact that each die has a 4 on it, the equation would be \(\frac{1}{6}\)+ \(\frac{1}{6}\)+ \(\frac{1}{6}\)=\(\frac{1}{2}\) if all the dice were added together.

(There are fifteen ways to get 2 fours: 441,414,144,442,424,244.. and so on until 446,464,644; another way to get the solution is using permutations and combinations:

=(1\(C_{1}\))(1\(C_{1}\))(5\(C_{1}\))+1\(C_{1}\))(5\(C_{1}\))(1\(C_{1}\))+(5\(C_{1}\)(1\(C_{1}\))(1\(C_{1}\))/\((6C_{1} )^{3}\)

=  \(\frac{1+15}{216}\)

=\(\frac{2}{27}\)

The probability that there is at least two 4s in the three throws is \(\frac{2}{27}\)

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The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Answer:

\(1+\sqrt{2}\\\), \(1.5-\sqrt{2}\), \(\sqrt{2} -1\), \(\sqrt{2}-1 , 0.15+\pi /1000 , \sqrt{2} +0.001\)\(2.357+\pi /1000000\)\(0.0001+\pi /10000000\) and I think you got it, just add to the smaller one \(\pi /10000000000000\\\)

Step-by-step explanation:

not much to explain, it ןs irrational because \(\sqrt{2} and \pi\) arent rattional.

Answer:

A mapping diagram can be used to represent a relationship between input values and output values. A mapping diagram represents a function if each input value is paired with only one output value.

Step-by-step explanation:

Answer:

A noun is a person, place, or thing.

Step-by-step explanation:

Him and her are nouns because it is a person

Given,

The diagram of the circle is,

Required

The radius of the circle O.

The radius of the circle is the line segment that join the center of the circle to any point on the circle.

In the circle, AO, FO, EO, CO and DO joins the center of the circle to the point on the circle. Hence AO, FO, EO, CO and DO are radius.

So, option D( All of the listed choice ) is correct.

Answer:

Neither

because parallel equations often have the same exact slop but different y- intercept and nor is it perpendicular because slop must be flipped over 1 and negative so its not evident there.

Hope it helps:))

Step-by-step explanation:

Answer:  B    3x\(\sqrt{2xy}\)

Step-by-step explanation:

\(\sqrt{18x^{3}y }\)                             > break up into perfect squares

=\(\sqrt{2(9)x^{2} xy}\)                       >√9=3   and        √x² =x

=3x\(\sqrt{2xy}\)

Answer:

-18 & 3

Step-by-step explanation:

-18 + 3 = -15

-18 * 3 = -54

If this trend continues, the total books the author would have sold over the first 12 months is 157,810 books.

In this scenario, we would calculate the total books sold by this author over the first 12 months as follows;

First month = 19,000 books.

Second month; 19,000 × (1 - 7)% = 19,000 × 93/100 = 17,670 books.

Third month; 17,670 × (1 - 7)% = 17,670 × 93/100 = 16,433 books.

Fourth month; 16,433 × (1 - 7)% = 16,433 × 93/100 = 15,283 books.

Fifth month; 15,283 × (1 - 7)% = 15,283 × 93/100 = 14,213 books.

Sixth month; 14,213 × (1 - 7)% = 14,213 × 93/100 = 13,218 books.

Seventh month; 13,218 × (1 - 7)% = 13,218 × 93/100 = 12,293 books.

Eigth month; 12,293 × (1 - 7)% = 12,293 × 93/100 = 11,432 books.

Ninth month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 10,632 books.

Tenth month; 10,632 × (1 - 7)% = 13,218 × 93/100 = 9,888 books.

Eleventh month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 9,196 books.

Twelveth month; 9,196 × (1 - 7)% = 9,196 × 93/100 = 8,552 books.

Next, we would add all of the books sold in each month together;

Total books sold = 19,000 + 17,670 + 16,433 + 15,283 + 14,213 + 13,218 + 12,293 + 11,432 + 10,632 + 9,888 + 9,196 + 8,552

Total books sold = 157,810 books.

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A quotient in mathematics is the amount created by dividing two numbers.

The term "quotient" is used frequently in mathematics and is used to describe the integer component of a division (in the case of Euclidean division), as well as a fraction or a ratio (in the case of proper division).

Following are the decimals to their nearest thousandths:

When a number is rounded to the closest thousand, it is changed to an approximated value that is simpler to recall and utilize. The closest value to the supplied integer is this value, which is a multiple of 1000. For instance, 342984 becomes 343000 if it is rounded to the closest thousand.

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Answer:

16/15

Step-by-step explanation:

I hope this is helpfull

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{llll} \textit{"y" varies}\\ \textit{directly with "x"} \end{array}\to \qquad y=kx\hspace{5em}\textit{we also know that} \begin{cases} y=-20\\ x=-4 \end{cases} \\\\\\ -20=k(-4)\implies \cfrac{-20}{-4}=k\implies 5=k~\hfill \boxed{y=5x} \\\\\\ \textit{when y = 15, what's "x"?}\qquad 15=5x\implies \cfrac{15}{5}=x\implies 3=x\)

Answer:

Y=4x -4

Step-by-step explanation:

Answer:

y=4x-4

Step-by-step explanation:

1. Start by putting the coordinates and the slope into point-slope form. Remember, m represents slope and y1 and x1 represent the x and y coordinates from the point (3,8).

y-y1=m(x-x1)

y-8=4(x-3)

2. Simplify the equation by distributing the 4 to (x-3) and adding 8 to both sides.

y-8=4x-12

y=4x-4

3. y=4x-4 is your answer

The annual salary will be 49750

Gross salary would be the total amount of compensation that an employer or business pays an employee during their employment. The Cost of Company, as well as CTC, on the other hand, would represent the overall compensation of employees. The CTC seems to be an employee's gross pay, but their net compensation is how much they actually take home.

Now, According to the question:

Let x be the annual salary.

Then 10% of x+250 equates 0.1(x+250).

Thus, the bonus equates $5000, then we will get the equation:

0.1(250 + x) = 5000

Solving for 'x' we get:

250 + x = \(\frac{5000}{0.1}\)

250 + x = 50000

x = 50000 - 250

x = 49750

CTC and gross salary are sometimes confused. But there is a distinction among the two. Before taxes, Employee Provident Fund (EPF) contributions, and gratuities deducted from the CTC, the amount paid to the employee would be known as their gross salary.

The complete question is this:

__"Ayesha earns a 10% bonus based on her annual salary plus the number of sales she makes. She made 250 and earned a $5,000 bonus last year. Write and solve an equation to find her salary last year__"

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perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

=248.5

distance ran=3×248.5=745.5 yards.

i hope this work for you

Okay so here is how it works:

Because 2:3:5 is the ratio 10 is the total because 2+3+5 is 10 right?

You therefore equate 10 to 4000

10=4000

so if 10 is equal to 4000 what about 2,3 or 5?

2/10×4000=800

3/10×4000=1200

5/10×4000=2000

Hope this anwered your question

Answer:

7.3332

Step-by-step explanation:

3.88 ⋅ 1.89 = 7.3332

The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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Answer:

D

Step-by-step explanation:

surface area of cylinder

=(area of base)×2 + (area of curved surface)

\(=(\frac{20}{2} )^{2} \pi\)× 2 + \(20\pi\) × 25

=2 × \(\pi\) × \(10^{2}\) + 2 × \(\pi\) × 10 × 25

Answer:

2

Step-by-step explanation:

the addition to the right is 7+3 = 10

write 0 and add 1 to the addition to the left

1+1 = 2. So we must add 2 to have 4

2+2 = 4

Answer:

D

Step-by-step explanation:

The given statement "The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of y and the line" is true because it provides the best fit line.

The simple linear regression equation estimates the relationship between two variables - a dependent variable (y) and an independent variable (x) - by fitting a straight line through the data points.

The line is chosen so that the sum of the squared deviations (also known as the sum of squared errors or SSE) between the observed values of y and the predicted values of y on the line is minimized.

In other words, the simple linear regression equation finds the line that is closest to all the data points in terms of the vertical distance between the points and the line.

This line is chosen to minimize the sum of squared deviations because it provides the best estimate of the relationship between x and y, and it allows for the prediction of y values for a given x value.

Thus, minimizing the sum of squared deviations is a crucial aspect of the simple linear regression equation because it ensures that the line of best fit provides the most accurate estimate of the relationship between the variables.

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the volume of the part of the ball `ρ ≤ 7` that lies between the cones `ϕ = π/6` and `ϕ = π/4` is approximately `481.87` cubic units.

Let's say that we have the equation of the sphere as `ρ² + ϕ² + θ² = r²`.

Using cylindrical coordinates, the volume of a ball with radius `r` would be:

`V = ∫∫∫ρ sin ϕ dρ dϕ dθ`

We're also given that `ρ ≤ 7` and the two cones that the ball lies between:

`π/6 ≤ ϕ ≤ π/4`

Using these constraints, the limits of integration for `ρ`, `ϕ`, and `θ` are as follows:

`0 ≤ ρ ≤ 7``π/6 ≤ ϕ ≤ π/4``0 ≤ θ ≤ 2π`

Therefore, we have:

`V = ∫∫∫ρ sin ϕ dρ dϕ dθ``V = ∫₀^(2π) ∫_(π/6)^((π/4)) ∫₀^7 (ρ sin ϕ)ρ dρ dϕ dθ`

Evaluating this integral gives us the volume of the part of the ball:

`V = π/12 (7^4 - 1)`

Therefore, the volume of the part of the ball `ρ ≤ 7` that lies between the cones `ϕ = π/6` and `ϕ = π/4` is approximately `481.87` cubic units.

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Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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Answer:

\((f \circ g)(24)=-36\)

Step-by-step explanation:

Given functions:

\(\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}\)

Function Composition is applying one function to the results of another.

The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).  

Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).

Calculate g(24) by substituting x = 24 into function g(x):

\(\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}\)

Therefore:

\(\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}\)

Answer:

(f∘g)(24) = -36

Step-by-step explanation:

We are given f(x) = -9x + 9 and  \(g(x)= \sqrt{x+1}\).

We want to find (f∘g)(24).

This means that we first want to find g(24), then substitute the value of that into f(x).  

Start by substituting 24 for x in g(x).

\(g(24)= \sqrt{24+1}\)

Add 24 and 1 together.

\(g(24)= \sqrt{25}\)

Take the square root of 25.

g(24) = 5

Now, substitute 5 as x in f(x) = -9x + 9.

f(5) = -9(5) + 9

Multiply.

f(5) = -45 + 9

Add the numbers together.

f(5) = -36

f(5) in this case has the same value as (f∘g)(24)

This means that (f∘g)(24) = -36

Answer:

2,3,4

Step-by-step explanation:

The possible dimensions of the rectangular plot of land are 5 meters by 30 meters and 10 meters by 15 meters.

Let's assume the length of the rectangular plot of land is L meters and the width is W meters. Since the fence will be built on three sides, the total length of fencing required would be L + 2W meters.

According to the given information, the total length of fencing available is 35 meters. Therefore, we have the equation L + 2W = 35.

The area of the land is given as 150 square meters, so we have another equation L * W = 150.

To find the possible dimensions, we can substitute L = 35 - 2W from the first equation into the second equation: (35 - 2W) * W = 150.

By solving this quadratic equation, we find two possible solutions: W = 5 meters and W = 15 meters. Substituting these values back into the first equation, we can calculate the corresponding lengths.

For W = 5 meters, L = 35 - 2(5) = 25 meters, giving us the dimensions 5 meters by 25 meters.

For W = 15 meters, L = 35 - 2(15) = 5 meters, giving us the dimensions 10 meters by 15 meters.

Therefore, the two sets of possible dimensions for the rectangular plot of land are 5 meters by 30 meters and 10 meters by 15 meters.

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